An Elementary Treatise on Algebra: For the Use of Students in High Schools and CollegesSanborn, Carter, Bazin, 1841 - 300 páginas |
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Página 31
... square , and a3 the cube of a ; but these names belong to geometry rather than algebra . The words , square and cube , however , have the advantage of con- ciseness , and will occasionally be used in this work . Figures also may be ...
... square , and a3 the cube of a ; but these names belong to geometry rather than algebra . The words , square and cube , however , have the advantage of con- ciseness , and will occasionally be used in this work . Figures also may be ...
Página 122
... square rods ? Suppose z rods added to the length ; then 10+ the length after z rods are added ; hence , 7 ( 10 + x ) = 49 , or 70 + 7x = 49 . This equation gives x = 3 rods . ― Here the value of x being negative , indicates some ...
... square rods ? Suppose z rods added to the length ; then 10+ the length after z rods are added ; hence , 7 ( 10 + x ) = 49 , or 70 + 7x = 49 . This equation gives x = 3 rods . ― Here the value of x being negative , indicates some ...
Página 144
... square rooms , the sides of which are as 5 to 6 ; and he finds that it takes 11 square yards more of carpeting to cover the floor of the larger , than it does to cover that of the smaller . Required the length of one side of each room ...
... square rooms , the sides of which are as 5 to 6 ; and he finds that it takes 11 square yards more of carpeting to cover the floor of the larger , than it does to cover that of the smaller . Required the length of one side of each room ...
Página 145
... square form . one side of the square ? What must be the length of 6. A man wishes to make a cistern containing 800 gallons , the bottom of which shall be a square , and the height 6 feet . Required the length of one side of the bottom ...
... square form . one side of the square ? What must be the length of 6. A man wishes to make a cistern containing 800 gallons , the bottom of which shall be a square , and the height 6 feet . Required the length of one side of the bottom ...
Página 146
... square rods . Required the length and breadth . Let x = the breadth in rods ; then x + 8 = the length . Hence , x2 + 8x = 180 . If we compare the first member of this equation with the sec- ond power of x + a , which is x2 + 2ax + a2 ...
... square rods . Required the length and breadth . Let x = the breadth in rods ; then x + 8 = the length . Hence , x2 + 8x = 180 . If we compare the first member of this equation with the sec- ond power of x + a , which is x2 + 2ax + a2 ...
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Términos y frases comunes
3d power 3d root a² b² a² b³ a³ b³ added algebra ALGEBRAIC QUANTITIES antecedents arithmetical binomial bushels cent changing the signs coëfficient contain decimal degree Divide dividend division equal equation equidifference example expressed factors fifth power figures Find the 3d Find the 4th Find the third formula gives greater greatest common divisor Hence inequality integral quantity irrational quantities last term least common multiple less Let the learner logarithm manner mean proportionals monomial mth power negative quantity number of terms numerator and denominator obtain polynomial preceding progression by difference progression by quotient quan question radical sign ratio remainder Required the numbers result rods second power second root SECTION Simplify square Substitute subtract Suppose third power third root tity twice unknown quantity vulgar fraction whole number
Pasajes populares
Página 48 - ANOTHER. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2.
Página 52 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 139 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Página 25 - A shepherd in time of war was plundered by a party of soldiers, who took \ of his flock and \ of a sheep ; another party took from him \ of what he had left and \ of a sheep ; then a third party took \ of what now remained and J of a sheep.
Página 228 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 124 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
Página 78 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Página 262 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Página 225 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Página 3 - If equal quantities be divided by the same or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be altered.